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Finding the Third Proportional to 101,805 and 111,034.50

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Solution

The third proportional to 101,805 and 111,034.50 is: 121,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,805 : 111,034.50 = 111,034.50 : x
  2. Step 2: Convert to fraction form
    101,805/111,034.50 = 111,034.50/x
  3. Step 3: Cross multiply
    101,805x = 111,034.50 × 111,034.50
  4. Step 4: Simplify right side
    101,805x = 12,328,660,190.25
  5. Step 5: Solve for x
    x = 12,328,660,190.25/101,805
  6. Step 6: Final answer
    x = 121,100.73

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.